Question

the figure shows two intersecting lines. write an equation to show how ( mangle1 ) and ( mangle2 ) are related. ( mangle1 ) ( mangle2 ) ( 90^{circ} ) ( 180^{circ} )

Explanation:

Step1: Recall the definition of supplementary angles

Supplementary angles are two angles whose sum is \(180^{\circ}\).

Step2: Analyze the relationship between \(\angle1\) and \(\angle2\)

Since \(\angle1\) and \(\angle2\) form a linear pair (they are adjacent angles formed by two intersecting lines), they are supplementary.

Answer:

\(m\angle1 + m\angle2=180^{\circ}\)